TSTP Solution File: LCL414+1 by Otter---3.3
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- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL414+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Jul 27 13:04:23 EDT 2022
% Result : Theorem 1.55s 1.77s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 8 unt; 0 nHn; 3 RR)
% Number of literals : 11 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 15 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ a_truth(implies(A,B))
| ~ a_truth(A)
| a_truth(B) ),
file('LCL414+1.p',unknown),
[] ).
cnf(2,axiom,
~ a_truth(implies(dollar_c1,dollar_c1)),
file('LCL414+1.p',unknown),
[] ).
cnf(3,axiom,
a_truth(implies(A,implies(B,A))),
file('LCL414+1.p',unknown),
[] ).
cnf(4,axiom,
a_truth(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))),
file('LCL414+1.p',unknown),
[] ).
cnf(5,axiom,
a_truth(implies(implies(not(A),not(B)),implies(B,A))),
file('LCL414+1.p',unknown),
[] ).
cnf(8,plain,
a_truth(implies(A,implies(implies(not(B),not(C)),implies(C,B)))),
inference(hyper,[status(thm)],[5,1,3]),
[iquote('hyper,5,1,3')] ).
cnf(16,plain,
a_truth(implies(implies(A,B),implies(A,A))),
inference(hyper,[status(thm)],[4,1,3]),
[iquote('hyper,4,1,3')] ).
cnf(19,plain,
a_truth(implies(A,A)),
inference(hyper,[status(thm)],[16,1,8]),
[iquote('hyper,16,1,8')] ).
cnf(20,plain,
$false,
inference(binary,[status(thm)],[19,2]),
[iquote('binary,19.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL414+1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.12 % Command : otter-tptp-script %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jul 27 09:28:46 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.55/1.77 ----- Otter 3.3f, August 2004 -----
% 1.55/1.77 The process was started by sandbox2 on n018.cluster.edu,
% 1.55/1.77 Wed Jul 27 09:28:46 2022
% 1.55/1.77 The command was "./otter". The process ID is 12318.
% 1.55/1.77
% 1.55/1.77 set(prolog_style_variables).
% 1.55/1.77 set(auto).
% 1.55/1.77 dependent: set(auto1).
% 1.55/1.77 dependent: set(process_input).
% 1.55/1.77 dependent: clear(print_kept).
% 1.55/1.77 dependent: clear(print_new_demod).
% 1.55/1.77 dependent: clear(print_back_demod).
% 1.55/1.77 dependent: clear(print_back_sub).
% 1.55/1.77 dependent: set(control_memory).
% 1.55/1.77 dependent: assign(max_mem, 12000).
% 1.55/1.77 dependent: assign(pick_given_ratio, 4).
% 1.55/1.77 dependent: assign(stats_level, 1).
% 1.55/1.77 dependent: assign(max_seconds, 10800).
% 1.55/1.77 clear(print_given).
% 1.55/1.77
% 1.55/1.77 formula_list(usable).
% 1.55/1.77 -(-((all P Q (-a_truth(implies(P,Q))| -a_truth(P)|a_truth(Q)))& (all P Q a_truth(implies(P,implies(Q,P))))& (all P Q R a_truth(implies(implies(P,implies(Q,R)),implies(implies(P,Q),implies(P,R)))))& (all P Q a_truth(implies(implies(not(P),not(Q)),implies(Q,P))))& (exists A (-a_truth(implies(A,A)))))).
% 1.55/1.77 end_of_list.
% 1.55/1.77
% 1.55/1.77 -------> usable clausifies to:
% 1.55/1.77
% 1.55/1.77 list(usable).
% 1.55/1.77 0 [] -a_truth(implies(P,Q))| -a_truth(P)|a_truth(Q).
% 1.55/1.77 0 [] a_truth(implies(X1,implies(X2,X1))).
% 1.55/1.77 0 [] a_truth(implies(implies(X3,implies(X4,R)),implies(implies(X3,X4),implies(X3,R)))).
% 1.55/1.77 0 [] a_truth(implies(implies(not(X5),not(X6)),implies(X6,X5))).
% 1.55/1.77 0 [] -a_truth(implies($c1,$c1)).
% 1.55/1.77 end_of_list.
% 1.55/1.77
% 1.55/1.77 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 1.55/1.77
% 1.55/1.77 This is a Horn set without equality. The strategy will
% 1.55/1.77 be hyperresolution, with satellites in sos and nuclei
% 1.55/1.77 in usable.
% 1.55/1.77
% 1.55/1.77 dependent: set(hyper_res).
% 1.55/1.77 dependent: clear(order_hyper).
% 1.55/1.77
% 1.55/1.77 ------------> process usable:
% 1.55/1.77 ** KEPT (pick-wt=8): 1 [] -a_truth(implies(A,B))| -a_truth(A)|a_truth(B).
% 1.55/1.77 ** KEPT (pick-wt=4): 2 [] -a_truth(implies($c1,$c1)).
% 1.55/1.77
% 1.55/1.77 ------------> process sos:
% 1.55/1.77 ** KEPT (pick-wt=6): 3 [] a_truth(implies(A,implies(B,A))).
% 1.55/1.77 ** KEPT (pick-wt=14): 4 [] a_truth(implies(implies(A,implies(B,C)),implies(implies(A,B),implies(A,C)))).
% 1.55/1.77 ** KEPT (pick-wt=10): 5 [] a_truth(implies(implies(not(A),not(B)),implies(B,A))).
% 1.55/1.77
% 1.55/1.77 ======= end of input processing =======
% 1.55/1.77
% 1.55/1.77 =========== start of search ===========
% 1.55/1.77
% 1.55/1.77 -------- PROOF --------
% 1.55/1.77
% 1.55/1.77 ----> UNIT CONFLICT at 0.00 sec ----> 20 [binary,19.1,2.1] $F.
% 1.55/1.77
% 1.55/1.77 Length of proof is 3. Level of proof is 2.
% 1.55/1.77
% 1.55/1.77 ---------------- PROOF ----------------
% 1.55/1.77 % SZS status Theorem
% 1.55/1.77 % SZS output start Refutation
% See solution above
% 1.55/1.77 ------------ end of proof -------------
% 1.55/1.77
% 1.55/1.77
% 1.55/1.77 Search stopped by max_proofs option.
% 1.55/1.77
% 1.55/1.77
% 1.55/1.77 Search stopped by max_proofs option.
% 1.55/1.77
% 1.55/1.77 ============ end of search ============
% 1.55/1.77
% 1.55/1.77 -------------- statistics -------------
% 1.55/1.77 clauses given 7
% 1.55/1.77 clauses generated 43
% 1.55/1.77 clauses kept 19
% 1.55/1.77 clauses forward subsumed 29
% 1.55/1.77 clauses back subsumed 0
% 1.55/1.77 Kbytes malloced 976
% 1.55/1.77
% 1.55/1.77 ----------- times (seconds) -----------
% 1.55/1.77 user CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.55/1.77 system CPU time 0.00 (0 hr, 0 min, 0 sec)
% 1.55/1.77 wall-clock time 1 (0 hr, 0 min, 1 sec)
% 1.55/1.77
% 1.55/1.77 That finishes the proof of the theorem.
% 1.55/1.77
% 1.55/1.77 Process 12318 finished Wed Jul 27 09:28:47 2022
% 1.55/1.77 Otter interrupted
% 1.55/1.77 PROOF FOUND
%------------------------------------------------------------------------------